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Physica Scripta

The phase of the coupling effect on entanglement decay in the nonlinear coupler system

A. Kowalewska-Kudłaszyk, W. Leoński

Published Sep 1, 2010• 3 citations
Publisher

Abstract

We consider the influence of the phase of internal coupling within a nonlinear Kerr-like coupler on entanglement decay. Assuming that the coupler interacts with an external reservoir, we show that by changing this phase we can obtain qualitatively various types of entanglement decay. In consequence, we are able to control the occurrence of sudden death and sudden birth phenomena.

DOI
10.1088/0031-8949/2010/t140/014050

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We consider the influence of the phase of internal coupling within a nonlinear Kerr-like coupler on entanglement decay. Assuming that the coupler interacts with an external reservoir, we show that by changing this phase we can obtain qualitatively various types of entanglement decay. In consequence, we are able to control the occurrence of sudden death and sudden birth phenomena.
We analyze the entanglement dynamics in a nonlinear Kerr-like coupler interacting with external environment. Whenever the reservoir is in a thermal vacuum state, the entanglement (measured by concurrence for a two-qubit system) exhibits regular oscillations of decreasing amplitude. In contrast, for thermal reservoirs we can observe dark periods in concurrence oscillations (which can be called a sudden death of the entanglement) and the entanglement rebuild (which can be named the sudden birth of entanglement). We show that these features can be observed when we deal with two-qubit system as well as qubit-qutrit system.
We consider time-evolution of the disentanglement process of once generated entangled qubit pair as a result of the phase variation of the pumping field. As a source of maximally entangled states we use the nonlinear coupler (two oscillators with Kerr-like nonlinearities) with nonlinear internal interactions. The coupler prepared in a maximally entangled state interacts afterwards with external reservoir of thermal character and pumping field as well. We show that the fact of the coupling with additional state (which can create additional entanglement with one of the 2-qubit system's previously entangled states) is an origin of interesting entanglement decay behaviour. We can observe shortening of both: entanglement death-time and entanglement birth caused by changing the phase of an external driving field.
The influence of nonlinear Kerr-like medium on the phenomenon of entanglement sudden death and birth in a double Jaynes-Cummings model is investigated.It is shown that the entanglement sudden death and birth phenomenon may appear in this system and the duration of entanglement sudden death and birth can be controlled by the nonlinear Kerr-like medium.Particularly, the phenomenon of entanglement sudden death and birth disappears one after another if we increase the value of the Kerr coefficient χ continuously, and all disappears if the value of the Kerr coefficient χ is large enough.
We discuss the coupler system of two nonlinear oscillators excited by an external coherent field prepared in a maximally entangled state (Bell-like state). We show that as a result of the coupler interaction of the system with external broadband squeezed vacuum bath, entanglement decay dynamics can be considerably affected. Besides the phenomena of sudden entanglement death and its rebirth, a shortening (or lengthening) of the total disentanglement time τD can be observed, depending on the squeezing parameters. Moreover, on the example of one of the reborn entanglement cases it is shown that by changing the values of these parameters the maximal values of the negativity for the 3 \otimes 2 system discussed can be tailored.